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(b) If the human hand has a mass of 243 g, what was the average power (in W) deposited into the hand of Roentgen's wife during the exposure? W (c) Estimating the surface area of the hand in the x-ray image to be 122 cm2, what was the magnitude of the electric field (in V/m) for the x-rays incident on the hand? V/m

(b) If the human hand has a mass of 243 g, what was the average power (in W) deposited into the hand of Roentgen's wife during the exposure? W (c) Estimating the surface area of the hand in the x-ray image to be 122 cm2, what was the magnitude of the electric field (in V/m) for the x-rays incident on the hand? V/m

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The first ever x-ray of the human body was that of the hand of Wilhelm Roentgen's wife. Roentgen had accidentally discovered x-rays the week before, on November 8, 1895, and chose his wife's hand to demonstrate that x-rays could penetrate human soft tissue, but not our bones. The wavelength of the x-rays, produced by establishing a potential difference across a partially evacuated glass tube, was 0.124 nm, corresponding to a 10.0 kV potential drop. Although modern x-ray machines have an average exposure time of 20 milliseconds and would deliver a dose equivalent of 60.0 nJ per gram of absorbing matter, Roentgen's first x-ray is estimated to have delivered 1,500 times this dose, with an exposure time of approximately 90 minutes. (a) What was the frequency (in Hz) of the x-rays used by Roentgen to produce the first x-ray image? 2.42e18 ✔ Hz
Transcribed Image Text:The first ever x-ray of the human body was that of the hand of Wilhelm Roentgen's wife. Roentgen had accidentally discovered x-rays the week before, on November 8, 1895, and chose his wife's hand to demonstrate that x-rays could penetrate human soft tissue, but not our bones. The wavelength of the x-rays, produced by establishing a potential difference across a partially evacuated glass tube, was 0.124 nm, corresponding to a 10.0 kV potential drop. Although modern x-ray machines have an average exposure time of 20 milliseconds and would deliver a dose equivalent of 60.0 nJ per gram of absorbing matter, Roentgen's first x-ray is estimated to have delivered 1,500 times this dose, with an exposure time of approximately 90 minutes. (a) What was the frequency (in Hz) of the x-rays used by Roentgen to produce the first x-ray image? 2.42e18 ✔ Hz
(b) If the human hand has a mass of 243 g, what was the average power (in W) deposited into the hand of Roentgen's wife during the exposure? W (c) Estimating the surface area of the hand in the x-ray image to be 122 cm², what was the magnitude of the electric field (in V/m) for the x-rays incident on the hand? V/m
Transcribed Image Text:(b) If the human hand has a mass of 243 g, what was the average power (in W) deposited into the hand of Roentgen's wife during the exposure? W (c) Estimating the surface area of the hand in the x-ray image to be 122 cm², what was the magnitude of the electric field (in V/m) for the x-rays incident on the hand? V/m
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